Taylor and Maclaurin Series
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Lesson Description:
Maclaurin series. Expansions of e^x, sin x, and cos x, and related series. Taylor series expansions about x0.
Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.
Questions answered by this video:
- What is a Taylor Series?
- What is a Maclaurin Series?
- How do you find a Taylor or Maclaurin series?
- What is the Maclaurin series of e^x and e^-x?
- What is the Maclaurin series of sin x and cos x?
- What is the Maclaurin series of sinh x and cosh x?
- What is sinh x?
- What is cosh x?
- How do you find a closed form of a power series?
- What is the Taylor series expansion of sin x centered at pi/4?
- What is the Taylor series expansion of square root of x centered at 1?
- What is a double factorial?
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Staff Review
Taylor and Maclaurin Series are explained and defined using power series. Then, some of the most famous Maclaurin series are found. Several examples of finding closed forms of power series are shown. Finally, Taylor Series centered at x0 are shown. Some really great images and animations are shown for these series. -
naklugman
well put together, although could have used some more in between steps on how to find the final summation equation
